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Informal Introduction: Data Processing, Interval Computations, and Computational Complexity

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Computational Complexity and Feasibility of Data Processing and Interval Computations

BOOK published 1998 in Applied Optimization

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Approximation of Interval Functions

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Solving Differential Equations

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Solving Systems of Equations

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Properties of Interval Matrices I: Main Results

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Basic Problem of Interval Computations for Polynomials of Fixed Order

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Basic Problem of Interval Computations for Polynomials with Bounded Coefficients

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Fixed Data, Varying Data Processing Algorithms: Still Intractable

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Solving Interval Linear Systems is NP-Hard

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Interval Linear Systems: Search for Feasible Classes

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

What if Quantities are Discrete?

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Fixed Data Processing Algorithms, Varying Data: Still NP-Hard

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Engineering Corollary: Signal Processing is NP-Hard

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Properties of Interval Matrices II: Proofs and Auxiliary Results

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

In the General Case, the Basic Problem of Interval Computations is Intractable

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Non-Interval Uncertainty I: Ellipsoid Uncertainty and its Generalizations

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

Non-Interval Uncertainty II: Multi-Intervals and Their Generalizations

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

The Notions of Feasibility and NP-Hardness: Brief Introduction

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl

If Input Intervals are Narrow Enough, Then Interval Computations are Almost Always Easy

BOOK CHAPTER published 1998 in Computational Complexity and Feasibility of Data Processing and Interval Computations

Authors: Vladik Kreinovich | Anatoly Lakeyev | Jiří Rohn | Patrick Kahl